Find the equation of the horizontal line through the point (8,-7).

A horizontal line has a constant \( y \)-value, regardless of the \( x \)-value. The equation of a horizontal line passing through any point \((x_1, y_1)\) is simply \( y = y_1 \).

Since the line passes through the point \( (8, -7) \), the \( y \)-value is \( -7 \). Therefore, the equation of the horizontal line is:

\[
y = -7
\]

Would you like further details or clarifications?

Here are 5 related questions to consider:
1. What is the equation of the vertical line passing through the point \( (8, -7) \)?
2. How do the equations of horizontal and vertical lines differ?
3. What is the slope of a horizontal line, and why?
4. How would the equation change if the line was not horizontal but had a slope?
5. How can you find the distance between two points on a horizontal line?

**Tip:** The slope of a horizontal line is always zero since the \( y \)-value remains constant across all \( x \)-values.

Find the equation of the horizontal line through the point (8, -7).

Learn how to find the equation of the horizontal line passing through the point (8, -7). This problem explores key concepts in coordinate geometry, including the equation of horizontal lines and the properties of linear equations. Suitable for students in Grades 6-8.

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